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Finding the Fourth Proportional to 202,192.20, 279,028.80 and 111,553.20

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Solution

The fourth proportional to 202,192.20, 279,028.80 and 111,553.20 is: 153,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,192.20 : 279,028.80 = 111,553.20 : x
  2. Step 2: Convert to fraction form
    202,192.20/279,028.80 = 111,553.20/x
  3. Step 3: Cross multiply
    202,192.20x = 279,028.80 × 111,553.20
  4. Step 4: Simplify right side
    202,192.20x = 31,126,555,532.16
  5. Step 5: Solve for x
    x = 31,126,555,532.16/202,192.20
  6. Step 6: Final answer
    x = 153,945.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.